Periods of digit-position sequences received from~linear recurrent sequences of maximal period over finite prime fields
Prikladnaâ diskretnaâ matematika, no. 1 (2015), pp. 62-68
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In the paper, for any integer $r\geq 3$, the periods of digit-position sequences obtained from $r$-ary representation of elements in a linear recurrent sequence of the maximal period over prime field are computed.
Keywords:
linear recurrent sequences of maximal period, digit-position sequences, finite fields, prime fields, periods of linear recurrent sequences.
@article{PDM_2015_1_a5,
author = {S. A. Kuzmin},
title = {Periods of digit-position sequences received from~linear recurrent sequences of maximal period over finite prime fields},
journal = {Prikladna\^a diskretna\^a matematika},
pages = {62--68},
publisher = {mathdoc},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PDM_2015_1_a5/}
}
TY - JOUR AU - S. A. Kuzmin TI - Periods of digit-position sequences received from~linear recurrent sequences of maximal period over finite prime fields JO - Prikladnaâ diskretnaâ matematika PY - 2015 SP - 62 EP - 68 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PDM_2015_1_a5/ LA - ru ID - PDM_2015_1_a5 ER -
S. A. Kuzmin. Periods of digit-position sequences received from~linear recurrent sequences of maximal period over finite prime fields. Prikladnaâ diskretnaâ matematika, no. 1 (2015), pp. 62-68. http://geodesic.mathdoc.fr/item/PDM_2015_1_a5/